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Finding the Fourth Proportional to 4,264.29, 5,884.64 and 2,375.87

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Solution

The fourth proportional to 4,264.29, 5,884.64 and 2,375.87 is: 3,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.29 : 5,884.64 = 2,375.87 : x
  2. Step 2: Convert to fraction form
    4,264.29/5,884.64 = 2,375.87/x
  3. Step 3: Cross multiply
    4,264.29x = 5,884.64 × 2,375.87
  4. Step 4: Simplify right side
    4,264.29x = 13,981,113.05
  5. Step 5: Solve for x
    x = 13,981,113.05/4,264.29
  6. Step 6: Final answer
    x = 3,278.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.